CONTENTS
Message from the Dean… ……………………………………………………………………………………………… 1 Introduction of Teaching Faculty……………………………………………………………………………………… 2 Message from our Teaching Faculty…………………………………………………………………………………… 9 Education Programs : Original Program Fostering Creativity in Mathematics… ……………………………… 10 Education Programs : Undergraduate Program… …………………………………………………………… 12 Education Programs : Graduate Program for Master’s Degree… ………………………………………………… 14 Education Programs : Graduate Program for Doctoral Degree (Ph. D.)… …………………………………… 16 Tuition and Other Information… ……………………………………………………………………………………… 18 International Activities… …………………………………………………………………………………………… 20 Support for Education and Research… …………………………………………………………………………… 24
The Cover Page: Ford Circles near √2 Ford circles let us visually understand the world of rational p 1 numbers. A Ford circle is a circle centered at ( q , 2q 2 ) with 1 p radius 2q 2 , where q is an irreducible fraction. Each Ford circle is tangent to the horizontal axis, and no two circles intersect with each other. In fact, one can fit all Ford circles beautifully in the upper half plane. The cover page shows the Ford circles corresponding to those rational numbers near √2. In particular, the bolder colored circles represent the first few 1 3 1 7 terms of the sequence 1, 1 + = 2 , 1 + 1 = , 2 2＋ 2 5 1 17 1 + 1 = , . . . , which converges to √2, as the following 2＋ 1 12 2＋ 2 continued fraction expansion of √2 shows:
√2 = 1＋ 1 2＋ 1 2 1 ＋ 2 ＋…
The figure suggests how quickly this sequence converges to √2. As this example shows, with the aid of Ford circles, theories involving rational numbers and continued fractions can be understood from a geometric aspect. Message from Dean Graduate School of Mathematics NAGOYA UNIVERSITY
Enjoy your journey into mathematics! To those who take up this brochure
Study and research in mathematics are often compared to mountain climbing. This is because the experience of piling up Dean of Graduate School of Mathematics logical steps to reach our goals or of obtaining surprising new prospects by finding unknown routes, viewpoints and concepts is Hiroaki Kanno similar to the experience of mountain climbing. The mathematics you have learned in high school and undergraduate programs is like climbing well-known mountains with a passage leading up to the start point of a mountain trail and a nicely paved path. But, in a graduate program, you often face punishing paths and untrampled routes. I do not necessarily mean forbidding lofty mountains such as the Himalayas. Even in familiar mountains nearby, there might be secret routes and hidden lookout points. It is also appealing to aim at mountains spreading over from mathematics to other academic fields. In recent years, many mountains crossing over the boundaries of mathematics have been discovered, ever expanding the research field of mathematics. If you are considering studying and researching mathematics in graduate school, please contemplate which mountain you would like to climb. I hope that the information on our faculty members and the mind map provided in this brochure will assist you in doing this. In mountain climbing, the higher your goals are, the greater the need is to develop physical strength and to gather background information. Even if you are planning to climb a familiar mountain, to avoid accidents, it is always important to check the weather forecast and to make prudent judgments. Just as in mountain climbing, learning and researching mathematics require considerable preparation and determination. As this brochure carefully explains, it is our belief that our graduate program provides sufficient support systems for you to study and research mathematics. Our basic policy in educational programs stresses fundamental knowledge of mathematics and broad coverage of various fields of it. Based upon this policy, we offer systematically organized courses, a wide variety of intensive courses, and a tutorial program under the supervision of advisors. We are also proud of our excellent library, secure computer network system, and friendly supporting staff. Furthermore, in recent years, we have been strengthening our career planning support.
Perhaps some of you might think that you can do mathematics alone. But, to avoid becoming complacent, you should not neglect communicating with various people. I advise you to keep your intellectual curiosity, to ask questions when you are puzzled, and to try to explain to others when you discover something or solve interesting problems. These days, gathering information has become simple due to the development of the Internet. Yet, it cannot replace face-to-face communication with people from other academic disciplines or from different cultural backgrounds. We provide various opportunities for interaction such as Café David* and many events for international students. I encourage you to seize these opportunities.
One of the biggest goals for a graduate student in mathematics is to submit a masters’ thesis or a doctoral thesis and have it approved by the thesis committee. It can be compared to writing a useful guidebook on a mountain you have investigated and making people interested in that mountain. I would like to invite you to find your favorite mountain and tell others its charm. We, the members of the Graduate School of Mathematics, will gladly help you in that endeavor.
footnote *) a common office hour in our graduate school (see page 9).
1 Introduction of Teaching Faculty
Keyword Keyword Integrable models, Conformal Programming languages, Type field theory theory
My current subject is quantum field I am studying the theory underlying theory with infinite-dimensional functional programming languages. symmetry such as Virasoro algebra, For more than 15 years, I have for example, the string theory, been working at fitting types onto conformal field theory and two- the world, but the job is far from dimensional integrable model. finished.
AWATA, Hidetoshi GARRIGUE, Jacques
Keyword Keyword Graph colorings and labelings, Representation theory, Algebraic Traversability in graph, group Connectivity in graph
In the area of graph theory, my I am working to formulate research interests include studying "(unknown) invariant theory" graph structures through graph which should associate to infinite colorings / labelings and distances dimensional representations, mainly in graphs. One of my current topics using algebraic analysis, algebraic is to study traversability in graphs geometry, and representation theory. using various covering walks.
FUJIE-OKAMOTO, Futaba GYOJA, Akihiko
Keyword Keyword Number theory, Arithmetic Mathematical physics, geometry, Non-commutative Elementary particle physics, class field theory Noncommutative solitons I am trying to understand a I am interested in the mathematical very primitive but basic object, structure behind laws of nature, "integers," via modern aspects especially elementary particle such as automorphic forms and physics and string theory. Presently, Shimura varieties (non-commutative I study noncommutative solitons and class field theory). My approach integrable systems related to N=2 mainly uses algebraic and geometric string theory and twistor theory. methods,including cohomology theory.
FUJIWARA, Kazuhiro HAMANAKA, Masashi
Keyword Keyword Number theory, Arithmetic Quantum information, geometry, Motivic fundamental Information theory groups
I am working on (p-adic) periods In order to unravel the mystery of and (p-adic) differential equations quantum theory, I study quantum associated with motivic fundamental information theory based on the groups. I am also working on information theoretical aspect. My study structures of special types of treats this topic from the viewpoints of quantum groups associated with the information theory and representation KZ-equations. theory.
FURUSHO, Hidekazu HAYASHI, Masahito
2 Graduate School of Mathematics NAGOYA UNIVERSITY
Keyword Keyword Quantum group, Hopf algebra, Homogeneous spaces, Unitary Tensor category representations
The field I am working in is quantum I study geometry and analysis on a groups and their representations. manifold whose symmetry is not so In particular, I am interested in small but not so large. I am interested generalized quantum groups and in how a 'strain' of the manifold is their relations to other areas of reflected on function spaces over the mathematics, such as classical manifold. representation theory and integrable systems.
HAYASHI, Takahiro ISHI, Hideyuki
Keyword Keyword Homotopy theory, Algebraic Hyperbolic geometry, Kleinian K-theory, p-adic arithmetic groups geometry
My research focuses on the study of My research interest is the theory automorphisms of high dimensional of Kleinian groups. In this area, manifolds through homotopy theory, hyperbolic geometry, Riemann algebraic K-theory, and topological surfaces and low-dimensional cyclic homology. In this investigation, topology are closely related to each invariants and constructions in p-adic other. I study the deformation spaces arithmetic geometry naturally appear. of Kleinian groups which have fractal boundaries.
HESSELHOLT, Lars ITO, Kentaro
Keyword Keyword Complex Geometry, Bergman Crepant resolution, Quotient kernel, Monge-Ampère equation singularity, McKay correspondence
I'm currently interested in the I study quotient singularities of geometry of the space of Kähler finite groups. I am interested in the metrics and various algebraic geometric and algebraic structure stability conditions. Geometric of them and their correspondences. quantization of this infinite They are also related to super string dimensional space is supported by theory in physics. Bergman kernel asymptotics and geodesity of a curve is characterized by the complex Monge-Ampère equation. HISAMOTO, Tomoyuki ITO, Yukari
Keyword Keyword Partial differential equations, Representation theory, Auslander- Navier-Stokes flow Reiten theory, Derived categories, Cluster theory
My interests are focused on the The theory of categorical structures existence, uniqueness, regularity, of modules over associative algebras stability and asymptotic behavior of was initiated by Auslander, Gabriel, the Navier-Stokes flow in several Ringel and others. This active unbounded domains. I often employ research area has a strong impact functional- and real-analytic on other fields of mathematics and methods. physics, and requires fresh ideas from young students.
HISHIDA, Toshiaki IYAMA, Osamu
3 Keyword Keyword Exact WKB analysis. Differential Fluid mechanics, Vortex motion, equations. Integrable systems. Turbulence
My research specialty is theoretical I’m studying global behaviors and computational fluid mechanics. of solutions of differential I am interested in studying various equations defined on complex mathematical aspects of flow domains, particularly by the problems. exact WKB method. In particular, I am concerned with I’m also interested in application the nonlinear dynamics of vortices of the exact WKB analysis to and waves in flows including other research topics. turbulence.
IWAKI, Kohei KIMURA, Yoshifumi
Keyword Keyword Quantum field theory, Diophantine geometry Supersymmetric gauge, String theory, Integrable system
I am working on the quantum Diophantine geometry of minimal geometry underlying the web of surfaces is a new research area dualities among supersymmetric which combines two classical gauge/string theories. Representation subjects. A mysterious geometry theory and integrable systems are emerges from this coupling, in powerful tools for the investigation which I am recently most interested of quantum invariants in such a . geometry.
KANNO, Hiroaki KOBAYASHI, Ryoichi
Keyword Keyword Nonlinear partial differential Algebraic geometry, Moduli, equations, Fourier analysis Automorphic forms
My research field is nonlinear partial I'm studying the geometry of the differential equations relevant to moduli spaces of some varieties by wave propagation phenomena, and applying the theory of periods of K3 related topics. I have been studying surfaces and Borcherds' theory on the solvability of such equations by automorphic forms. using functional analysis, Fourier analysis, etc.
KATO, Jun KONDO, Shigeyuki
Keyword Keyword Knot theory, Topology Source coding, Channel coding
My main research interest is the My research field is information relations between diagrams and theory. This includes many topics, invariants of knots and links. It is and I especially study source coding amazing that a lot of formulas are and channel coding. These concern proved using advanced theories, rate of data compression and channel though some of them seem to be capacity respectively. They are based very easy. on the theory of stochastic processes.
KAWAMURA, Tomomi KUBO, Masashi
4 Graduate School of Mathematics NAGOYA UNIVERSITY
Keyword Keyword Zeta-functions, L-functions Random matrices, Semiclassical theory
I study the distribution of values Random matrices are matrices with and analytic properties of various random number elements. Using zeta and L-functions, such as the methods such as semiclassical Riemann zeta-function, automorphic analysis, I study random matrices L-functions, and multiple zeta- from multilateral viewpoints, such functions. as fundamental theory and various applications.
MATSUMOTO, Kohji NAGAO, Taro
Keyword Keyword Geometric analysis, differential Differential geometry, Variational geometry problems, Computer network systems
My research interests include gauge My research subjects are geometric theory, Nevanlinna theory, and variational problems and non- positive scalar curvature. linear partial differential equations. I have worked on topics such as the Recently, I also do research in ASD equations, the Seiberg-Witten authentication systems of computer equations, Brody curves, mean networks. dimension, and the Kazdan-Warner problem.
MATSUO, Shinichiroh NAITO, Hisashi
Keyword Keyword Solvable lattice models, Quantum integrable systems, Statistical mechanics, Quantum Quantum groups structures
I mostly work in theories of I study (i) integrable systems quantum and statistical structures in quantum dynamics and field of lattice models. Within these theories, (ii) algebraic structures and areas, one can work on problems the representation theories behind involving solvable lattice models, them, such as quantum groups and their algebraic structures, critical Lie algebras, and (iii) the interplay phenomena, and applications to of (i) and (ii). magnetic materials
MINAMI, Kazuhiko NAKANISHI, Tomoki
Keyword Keyword Noncommutative geometry, The Probability theory, Branching Atiyah-Singer index theorem process, Statistical mechanics
Noncommutative Geometry is a new Probability theory is used in several framework in Mathematics proposed areas and has a lot of applications. by A. Connes. The Atiyah-Singer I am studying branching processes Index Theorem is a central theme in and polymer models which are Noncommutative Geometry, which related to biology and physics. is my current research subject.
MORIYOSHI, Hitoshi NAKASHIMA, Makoto
5 Keyword Keyword Nonpositively curved metric Symplectic geometry, Gauge spaces, Rigidity of discrete theory, Floer theory groups, Harmonic maps
I am interested in themes of Recently, I mainly study two subjects; differential geometry such as One is Floer cohomology theory conformal geometry and the in symplectic geometry based on geometry of nonpositively curved certain homotopical algebras (so metric spaces. Recently, I study called A -algebras), and the other is rigidity of actions of discrete to relationships between singularity groups on such metric spaces, using theory and symplectic/contact methods of harmonic maps, discrete geometry. geometry, and random groups.
NAYATANI, Shin OHTA, Hiroshi
Keyword Keyword Mathematical biology and Enumerative and algebraic physiology, Delayed stochastic combinatorics, Combinatorial systems representation theory
My interest lies in creating My research interests are in mathematical models of various combinatorics and its connection physical, biological, and social with other fields, such as algebra, phenomena. I particularly focus representation theory, and integrable on systems with feedbacks and systems. interactions under the influence of More specific topics of interest noise / fluctuations and delays. are related to Young diagrams, symmetric functions, alternating sign matrices, classical groups, etc.
OHIRA, Toru OKADA, Soichi
Keyword Keyword Number theory p-adic Algebraic geometry, Algebraic representations p-adic cycles differential equations
My current research interest My research interest is in algebraic is a p-adic aspect of Number geometry, especially in algebraic cycles, theory. I am studying p-adic such as normal cones as key ingredients representations appearing of intersection theory in view of Chow in Number theory. I am bivariant intersection theory and related also studying related p-adic topological invariants such as vanishing differential equations. cycles.
OHKUBO, Shun SAITO, Hiroshi
Keyword Keyword L2 extension theorem Global analysis, Calculus of variations
There are situations where I am studying variational problems the structure of an equation which appear in geometry and becomes simpler if one makes a mathematical physics. In particular, transformation by introducing extra I'm interested in problems which variables. The L2 extension theorem do not result in solving differential due to Takegoshi and myself can equations. be applied to implement such a strategy.
OHSAWA, Takeo SASAHARA, Yasuhiro
6 Graduate School of Mathematics NAGOYA UNIVERSITY
Keyword Keyword Topology, Gauge theory Algebraic number theory, Capitulation problem
I study three and four dimensional When I calculate some groups, topology using gauge theory. This Hamiltonian graphs, Schur theory has been developed relations polynomials, etc., I feel that this is with various fields, Such as not number theory, and I sometimes algebraic geometry, knot theory, and remember NaN. physics. The geometry of three and four dimensions is very different from higher dimensions and is interesting.
SASAHIRA, Hirofumi SUZUKI, Hiroshi
Keyword Keyword Modular equations , π , Periods Commutative algebras, Representation theory of algebras
I study special functions I have been studying the boundary (hypergeometric functions, modular between commutative algebras and functions, e.t.c.), especially period representation theory of algebras, relations and iterative and series that is, representation theory of approximations to π. commutative rings. The main purpose is to understand the structure of finitely generated modules over a commutative noetherian ring.
SATO, Takeshi TAKAHASHI, Ryo
Keyword Keyword General relativity, Cosmology, Partial differential equations, Differential geometry Fourier analysis, Fluid mechanics
My research interests are black hole I study incompressible Navier-Stokes spacetimes and cosmology based on equations and their generalizations, general relativity(GR). Motivated by which describe various fluid phenomona. string theory, I am currently studying To study these, Fourier, functional and higher dimensional GR and anti-de Sitter stochastic analysis are important, and I spacetime. am interested in their study, too.
SHIROMIZU, Tetsuya TERASAWA, Yutaka
Keyword Keyword Partial differential equations, Well-posedness, Fourier Fourier analysis restriction norm, I-method
I am studying various properties I have research interests in partial of solutions to partial differential differential equations. My current equations by means of "estimates". focus is on the study of the Cauchy Fourier analysis is the main tool, problem of nonlinear dispersive but it is also an important object of equations using harmonic analysis. study in itself.
SUGIMOTO, Mitsuru TSUGAWA, Kotaro
7 Keyword Keyword Group theory, Representation Geometric representation theory, Geometry theory,quantum algebras,stability conditions
Representation theory deals with My research interests are in the symmetries in vector spaces. It structure and representations of is an extremely active field, with quantum algebras using geometric connections to various fields, both methods. I also study Bridgeland's pure and applied. stability conditions and the derived categories of coherent sheaves on varieties.
UZAWA, Tohru YANAGIDA, Shintaro
Keyword Keyword Operator algebras, Tensor Probability theory, Statistical categories mechanics
My main interests are mathematical There are strict laws which govern structures that have origins "randomness". Attracted by this in quantum physics, such as paradox, I have decided to specialize representations of quantum algebras, in probability theory. I am mainly quantum symmetries in operator interested in research subjects algebras, and quantum analysis in related to statistical physics. tensor categories. Related fields in functional analysis are also in my research range.
YAMAGAMI, Shigeru YOSHIDA, Nobuo
Designated Associate Professor G30 Research Fields Research Fields representation theory of algebras, functional analysis higher-dimensional Auslander-Reiten spectral and scattering theory theory, non-associative algebra. index theorems in scattering theory Mourre theory magnetic systems PAPERS PAPERS E. Darpö, J. M. Pérez Izquierdo: Autotopies and quasigroup identities: new aspects of non-associative division algebras, Forum S. Richard, R. Tiedra de Aldecoa : Time delay is Mathematicum 27(5):26912745, 2015. a common feature of quantum scattering theory, J. Math. Anal. Appl. 387 (2012), 618 – 630. E. Darpö, C. C. Gill: The Loewy length of a tensor product of modules of a dihedral two- J. Kellendonk, K. Pankrashkin, S. Richard : group, Journal of Pure and Applied Algebra Levinson's theorem and higher degree traces for 218(4): 760776, 2014. Aharonov-Bohm operators,J. Math. Phys. 52 (2011), 052102–1 – 052102–28. E. Darpö, M. Herschend; On the representation ring of the polynomial algebra over a perfect M. Lein, M. Mantoiu, S. Richard : Magnetic field, Mathematische Zeitschrift 265(3):601615, pseudodifferential operators with coefficients 2010. in C*-algebras, Publ. RIMS, Kyoto Univ. 46 Erik Darpö Serge Richard (2010), 755 – 788.
Personal web Research Fields http://math.univ-lyon1.fr/homes-www/richard/ cluster algebras and their categorifications representation theory of associative algebras category theory PAPERS
L. Demonet: Categorification of skew- symmetrizable cluster algebras, Algebr. Represent. Theory 14 (2011), no. 6, 1087–1162. L. Demonet: Skew group algebras of path algebras and preprojective algebras, J. Algebra 323 (2010), no. 4, 1052–1059. L. Demonet: Cluster algebras and preprojective algebras: the non-simply laced case, C. R. Math. Acad. Sci. Paris 346 (2008), no. 7–8, 379–384.
Personal web Laurent Demonet http://math.unicaen.fr/~demonet/index-en.htm 8 Graduate School of Mathematics NAGOYA UNIVERSITY
Message from Teaching Faculty IYAMA, Osamu
From the fjord country
When I got off a connecting flight to Trondheim from Professor Idun Reiten wrote during the 1970s that inspired Copenhagen, I found my breath turning into a white my own choice of research. smoke in the cold air. It reminded me that Norway had low temperatures even in August. I often travel to I am always relaxed when I chat with her in English, Trondheim, Norway’s third largest city, for academic because she has never pounced on my grammar mistakes. purposes, and this was my fifth visit. Having just I couldn’t wait to tell her the latest results of my research. attended a summer conference in Poland, I thought The details of the discoveries I had omitted in e-mails from I already knew what the weather would be like in Japan I found easy to articulate here, face-to-face. I am Norway. I should have brought along my warmer outfits! particularly grateful to her for showing genuine pleasure Thinking of what it would cost to buy an appropriate in my findings. Students come to NTNU from all over the jacket here, I sighed deeply, again turning the air into a world. I believe her presence helps to explain why. smoky vapor. The main purpose of this particular visit was to complete After leaving the airport, I enjoyed the beauty of the the final draft of a paper we had collaborated on. It required Nidelva River on the way to the Norwegian University examining the contents minutely as the editing process of Science and Technology (NTNU). I was looking neared its end. Even a slight change can make the entire forward to seeing a familiar face in a certain office article sound more sophisticated. We were also surprised to on the eighth floor at the university. When I got to the find a few conflicting statements. In the process of choosing office, my face was wreathed in smiles. Dr. Reiten and which academic journals to submit the paper to, we spent I were delighted with this reunion. She was waiting days discussing its contents. This also entailed exchanging there with a spare sweater and scarf ready for me. What e-mails with a mathematician in the U.K., also a co-author. a wonderful person she is! It was a series of papers that It took two busy weeks for us to complete the final draft.
I dined out with Professor Reiten the last day before my departure for Japan. We ate our usual fare, a famous fish soup. In the restaurant, I talked about topics my students in Japan are working on. She was cheerful, joking “Osamu, you were born in the very same year in which the Almost Split Exact Sequence was discovered.” A memorial was held celebrating the sixty-fifth birthday of this surprisingly energetic woman in May 2007. On the flight back to Japan, I found myself wondering how much further mathematics will advance while she is still a working scholar. I returned to Nagoya the following day to continue with my research, revitalized by the days in Norway.
9 Education Programs
Original Program Fostering Creativity in Mathematics
Level System and Educational Program
In this way students can pursue a purpose-centered education suited to their area of inquiry and unfettered by their official school year.
Self Self-study / Research Research study
Colloquium / Researcher's Seminar
Project Academic Support for Learning Weekly Office Hour / Cafe David and Research Small Group Graduate Small Group Small Group Instruction Exercise / Group Study Research Class Class
Lecture Level 0 Level 1 Level 2 Level 3
U1 U2 U3 U4 M1 M2 D1 D2 D3
Department of Mathematics Master Course Doctor Course
Level System The Level System is our central structure for classifying programs of study for educational purposes, organizing both undergraduate and graduate degree curricula as a coherent whole. Thus, all lectures and small group classes are assigned a certain level.
Level 0 All science majors work together in the initial introductory phase of the arts and science level 0 classes and learn essential subjects such as calculus and linear algebra.
Level 1 Level 1 classes deal with basic concepts that all science majors need to comprehend. This level corresponds to curricula for undergraduates in the second and third years. These classes encourage students to apply and connect mathematical concepts with other fields of science, such as physics, and to develop intuitive, logical, and abstract thinking.
Level 2 The scope of level 2 classes embraces various advanced concepts. These classes provide scholarly training in logical, abstract, and systematic approaches commonly used in mathematics through a wide variety of subjects. This level is intended for fourth year undergraduates and graduate students. It is advisable to complete the set of classes within two years.
Level 3 Level 3 classes are advanced courses, and are designed based upon the fundamental portions of the curriculum up to level 2, the core program. These are intended for all 2nd year or above graduate students and should be completed over three or four years.
10 Graduate School of Mathematics NAGOYA UNIVERSITY
Basic Principles
Emphasis on Basic Skills and Broad Minds The Department of Mathematics and the Graduate School of Mathematics aim to cultivate self-motivated individuals, who can successfully navigate inquiry, reflection, and discovery based upon scholarly training in mathematics. Our commitment is to maintaining an enlightening environment for problem-conscious students where, together with scholars and fellow students, they can refine their ideas and apply logical reasoning in seeking solutions to problems. Prospective students should know that, in the mathematics department: ・Research planning, pursuit of research, and regular reporting of results are expected. ・The education in the department is designed to support students’ self-motivation. ・Research is pursued in dialogue with active researchers and fellow students.
Emphasis on Independent Will The aim of the doctoral program is to foster researchers with multiple talents in mathematical sciences who are also capable of working in various fields. In the Graduate School of Mathematics, we offer doctoral students an active and global work place in order that students enrich their knowledge by working together with younger researchers. Mathematical scientists include not only those who work in a university or a laboratory but also those competent to solve problems in any field of the mathematical sciences. Therefore, we encourage you to take a broad perspective in considering your career options after graduation.
e Dav af id C Learning Mathematics at "Cafe David"
The idea of studying mathematics brings images to mind of large lecture halls and rigorous self-study. These traditional methods of study are indeed important, but there are also dynamic alternatives. One of those is to gather various thinkers together to debate and discuss mathematics. The photo is of our own weekly event, “Cafe David”. Here, undergraduate students, graduate students, and teaching faculty gather in a casual cafe meeting style, to chat over both academic and less formal questions. We named "Cafe David" after David Hilbert, the well-known mathematician often said to represent 20th century mathematics. As the name suggests, delicious coffee is on offer for department members in attendance. Discussions here allow many to overcome the common barriers that exist between undergraduate and graduate students, or between students and faculty, or among academic areas or schools, strengthening relationships and intellectual understanding at the same time. In addition, graduate students join “Cafe David” as teaching assistants, offering a comfortable environment to answer tough questions from lectures. Faculty provide assistance here in the form of office hours and students can learn from interaction in this active public learning space. Wouldn’t you like to come and take a look at our diverse learning styles of mathematics?
11 Education Programs
Undergraduate Program
Learning and Lecture Content The following is a brief description of what is offered at Nagoya University for mathematics majors.
Level 0 (Freshman) You will learn differential calculus and linear algebra through examples and by working on exercises. These are the "raw material" of modern mathematics. You will be asked to carry out explicit computations, which will give you access to computational skill, and will foster proper intuition for mathematical concepts. It is of utmost importance that you work through as many problems as possible, gaining exposure to mathematics. Semester Lecture Small Group Class Summer Calculus of one variable/ Linear algebra/ Overview of mathematics Seminar on mathematics
Winter Calculus of several variables/ Linear algebra/ Overview of mathematics Seminar on mathematics
Level 1 (Sophomore) First differential calculus and linear algebra will be reworked rigorously in the language of modern mathematics –sets and maps. Totally new concepts, such as complex function theory and topological spaces will enter the scene. The learning curve is steep, and you will be required to put in a lot of effort and your patience will be taxed, but the reward will be high: an entrance ticket to modern mathematics. Semester Lecture Small Group Class Summer Sets and mappings/ Linear space and linear mappings/ Calculus of one variable Seminar on mathematics
Calculus of several variables/ Topological spaces/ Complex function theory Winter Seminar on mathematics Normal forms of matrices/ Introduction to information sciences
12 Graduate School of Mathematics NAGOYA UNIVERSITY
Message from a Foreign Student Junghun Lee Self-introduction My name is Junghun Lee. I come from South Korea. I have been living in Japan since 2008 when I was an undergraduate student. Now I am a graduate student of mathematics of Nagoya University. Daily Life Here let me share a bit about my daily activities. I shall divide it into two parts, study and part-time work activities. Study My major is (discrete) dynamical system.I have a seminar twice a week with only my research adviser. Since it is a one-to- one seminar, each time we can have a lot of talk regarding the topics. Part-time Work I am working as a research assistant at Nagoya University. The contents of the part-time work consist of taking some lectures, and writing feedback about each of them to improve those lectures. For example, sometimes we take IELTS preparation class, participate in some kind of discussion, and take a lecture to be a global leader. Nagoya The location of Nagoya is in the middle of Japan. It is very convenient to go to other places in Japan. Indeed, many graduate students need to either attend or to participate in many conferences, and they are held in many different places, such as Tokyo, Kyoto, or Osaka. I think it is one of the merits that Nagoya is located in the middle of Japan. Moreover, there are many dormitories available for international students in Nagoya. I have been living in Nagoya International Student Center for 4 years. The staff are very kind and helpful to me. It is quite far from Nagoya University, but I enjoy riding a bicycle to commute. Don't worry, if you want to live around Nagoya University, you can also choose dormitories nearer to the university than mine. Nagoya University Nagoya University has a very good environment for studying mathematics. First of all, there are a lot of teachers in various fields such as Mathematical Physics, Algebra, Geometry, Analysis, etc. Every year, they open some classes related to their fields called `Sotsugyou Kenkyuu’ and `Syouninzuu Class’. Each of these is a kind of seminar where the students give presentations one by one and the teacher listens and also gives advice during the seminar. If you want to join this class, you may ask for permission to join to the teacher in charge. Secondly, there are many books and articles in the library of Nagoya University. It is very helpful because we need many references to study mathematics. The library has many references, so we don`t need to buy all of what we need. Finally, I would like to talk about the staff. The staff here are so kind and they help you as long as they can. Everyone can be a friend to the staff. They have many events for international students so that we can enjoy our campus life. Besides, they are really professional in dealing with your problems such as finding financial support, working as a teaching assistant or research assistant, looking for a dormitory, etc.
Level 1 (Junior) You will be introduced to mathematics that was developed in the early 20th century. Level 1 ends with the introduction of Lesbesgue integrals and their application to Fourier analysis, curves and surfaces which generalize circles and spheres, groups and rings that are algebraic abstractions of numbers, polynomials and maps. There will be "Omnibus lectures" on how mathematics relates to the real world and what lies ahead of all this, and "group study" where you pick the text of your choice, discuss the content with your fellow students, give talks, and give a poster presentation. Semester Lecture Small Group Class Summer Introduction to group theory/ Introduction to curves and surfaces Seminar on mathematics Introduction to differential equations/ Lebesgue integrals and measure theory
Winter Rings and polynomials/ Introduction to differential forms Group study Introduction to functional analysis/ Omnibus lectures/ Group study
Level 2 (Senior) Lectures for seniors at Level 2 are open to seniors and graduate students. The subject matter of these lectures differ by year. A partial list of courses offered in the past is given below. There are also numerous "intensive courses" , which typically last for a week, designed to give an overview of research at the forefront. Courses at this level emphasize the diversity and universality of mathematics that can only be appreciated by taking a higher viewpoint. You are not only expected to learn from these courses, but also to develop your own viewpoint/taste for mathematics. Reading courses under faculty supervision are offered, where you will learn how to read a book or a research article, how to formulate your thoughts in a mathematical way, and how to discuss mathematics. Semester Lecture Small Group Class Fields and Galois theory/ Manifolds/ Functional analysis/ Summer Introduction to probability theory/ Introduction to mechanics/ Introduction to numerical analysis/ Omnibus lectures Elliptic curves/ The heat kernel and the index theorem/ Senior reading course Introduction to partial differential equations/ Electromagnetic theory/ Winter Methods in applied mathematics (offered in English)/ Functional programming languages
13 Education Programs
Graduate Program for Master’s Degree
Fostering Scholars who Investigate, Think, and Discover on their Own The Graduate School of Mathematics aims to cultivate self-motivated individuals, who can successfully navigate inquiry, reflection, and discovery based upon scholarly training in mathematics. Our commitment is to maintaining an enlightening environment for problem- conscious students where, together with scholars and fellow students, they can refine their ideas and apply logical reasoning in seeking solutions to problems.
Intensive Courses Intensive courses are those conducted by lecturers from other universities or institutions, intensively, over short periods of time. Content ranges widely, from those of an introductory nature that require no prior technical knowledge at all, to those that focus more narrowly on the most cutting edge findings in a specific field. Not only are the mathematical fields of Algebra, Geometry, Analysis, Applied Mathematics, and Mathematical Physics covered, but lecturers are brought in to offer various perspectives, including that of the corporate world and practical applications. To find out more information about intensive lectures conducted in 2008 and the small group classes explained below, please see our graduate school’s web page, under “Education & Job Search”.
Small Group Class Small Group Class is a two-semester seminar intended to develop reading, critical thinking, and discussion skills. In the seminar class, students expand upon their learning from faculty lectures and identify their specific focus of interest/ research from within areas presented in lectures. Within the chosen subject area, classes offer multifaceted lectures guided by student interest. The pace of the lectures is tailored to participating students’ needs. As seen from the chart above, students can both improve their skills and explore their chosen field in the small group class. Master's students will belong to a credit-earning seminar each year. At the same time, they are strongly advised to attend another seminar. Students who attend regularly and submit successful assignments will be awarded at most 1 credit over 2 years in addition to the credits from other classes for which they are registered.
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Teaching Assistants (TA) Teaching assistant positions are filled primarily by first year master's students. They are hired to aid professors with lectures and seminars for undergraduate students in the first, second, and third year in the science department, as well as others, and to assist with Cafe David. Duties of a TA include designing and correcting class exercises, writing interpretations, and attending all Q & A in and out of class. These duties offer graduate students an opportunity to join the backstage of university lectures. Experiencing lectures from the standpoint of a teacher allows TAs an invaluable opportunity for their future, to learn what it is to teach. In addition, as a TA, they can understand many of the typical problems that students repeat, as well as those of beginning instructors and how to avoid them. Wages are paid to TAs, but many past TAs say that the real value in this assistant position is the opportunity to enhance one’s own learning and future research.
Message from a Foreign Student Ade Irma Suriajaya My name is Ade Irma Suriajaya, but people usually call me Chacha in Japan. I come from Indonesia and now I am in my second year of a master's program in mathematics in Nagoya University. My field of study is analytic number theory, and I am doing research on the zeros of the derivatives of the Riemann zeta function and the Dirichlet L function [under the supervision of Prof. Kohji Matsumoto].
I graduated from a university in China, and, in my third year of undergraduate study, I got an opportunity for a student exchange program at Nagoya University. That was my first time coming to Japan and also the first time I learned Japanese. At that time, my major was Aeronautical Engineering, but since I was really interested in mathematics, I took mathematics classes besides Japanese during that period. In the first semester, since I could not understand Japanese, I took a mathematics class which was given in English. In the second semester, I took some classes in mathematics which were given in Japanese. I was really impressed that the teachers I knew during that period taught me who understood nothing about pure mathematics, very kindly and sincerely. Even when I could not understand Japanese, they all explained well in English, and sometimes even let me ask in English when I could not express my question in Japanese. There is also a space in the building where you can ask any questions related to mathematics. There are some teachers and students there to help you, and it is open everyday during the lunch break. I went there very often, and I found it really helpful for my study. To be honest, the atmosphere around helped and encouraged me so much to master Japanese that I became more and more impressed.
I really felt in love with the study and research environment in the Graduate School of Mathematics of Nagoya University and, of course, with the environment of Nagoya itself. Thanks to the exchange program, not only for giving me the chance to study Japanese, but also for giving me a chance to know this place, which attracted me so much that I finally decided to change my major to mathematics and also to return to the Graduate School of Mathematics of Nagoya University after my graduation in China. That is the reason why I am here right now. Here they have good facilities, such as the study space given to each graduate student, the seminar rooms, and especially the library. They also have good services and they provide various kinds of financial support. Besides scholarships for international students, they also employ students as teaching assistants and research assistants. Here, every student is also provided with some research allowance which we can use to attend a symposium, conference, seminar, etc. either inside or outside Japan. There is still some other financial support, too. Nagoya University itself provides Japanese courses and also some other foreign language courses open to not only exchange students or any particular students, but, as I know, all students. These are some reasons why I do not regret my decision to return here.
People say it is not easy to adapt to a new environment, and the same is true about a new major. I faced difficulties the first time I came to Japan, and I found it really hard to be able to keep up with my peers since I lacked understanding in basic (pure) mathematics. Especially, students of mathematics in Japan are required to do seminars starting when they are in their undergraduate studies. I did not do well in the beginning, and there were so many things which were hard to understand. But many students, including seniors, and teachers understood and helped me along the way. I believe that this also happened to other students as well.
15 Education Programs
Graduate Program for Doctoral Degree (Ph. D.)
Fostering the Next Generation of Young Scholars The primary goal of our doctoral program is to foster the next generation of young mathematicians. They must understand the necessary broad range of skills involved in mathematical sciences and be prepared to apply them appropriately to various problems. The doctoral program, in particular, requires self-driven learning, including discovering problems on one’s own and building the skills necessary to solve them. Sending our PhD holders equipped with these skills as competitive professionals out into society is the ultimate goal.
Active Student Body Our current doctoral students are involved in student organized seminars on campus, as well as the planning and organizing of national academic conferences for young scholars. This is in addition to active independent research of their own. We believe this combination of activities results in the high quality research output our department’s doctoral students produce. Among other activities, Student Projects have received strong support from our department, as well as from the Program for Enhancing Systematic Education in Graduate Schools since 2007.
Student Project Titles of 2015
1 The World of Zeta Functions 7 Operator Algebras in Geometry and Number Theory
2 Geometric Methods of Representation Theory 8 An Information Theoretic Approach to New Frontier of Mesoscopic Quantum Statistical Thermodynamics 3 Embedding Problems in Symplectic Geometry
4 Homotopy Theory and Non-commutative Geometry 9 Cyclic homology for applied topology and semirings
5 Algebraic geometry and topology 3 10 Deformation theory of Complex Dynamical Systems
6 Non-Archimedean Geometry and dynamical systems 11 Well-posedness and asymptotic behavior of nonlinear dispersive equations
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RA (Research Assistant) Many doctoral students may be employed as research assistants (RAs) to help them develop their research skills and to provide opportunities for participation in various research groups in the Graduate School of Mathematics. The RA system has been financially supported by the Program for Enhancing Systematic Education in Graduate Schools since 2007. Grants-in-Aid for Scientific Research also help to support doctoral students as research students. There were 15 RAs in 2007, 14 in 2008, 12 in 2009, 9 in 2010, 12 in 2011, and 16 in 2012, 12 in 2013, and 5 in 2014, 95 in total.
JSPS Fellows This program was established by JSPS (Japan Society for the Promotion of Science) to assist promising and highly qualified students wishing to conduct research in universities or institutions. Fellowships are awarded for a period of two to three years with monthly research-related expenses and Grants-in-Aid for Scientific Research. Detailed information is provided at: http://www.jsps.go.jp/english/index.html
Interdisciplinary Research Mathematics has historically influenced other fields, and, at the same time, evolved itself from the influence of other research fields. Nowadays, working towards a goal of broad global exchange is not enough. Conducting research with a vision beyond our own narrow fields is also required. Our department makes a unique effort to strive towards working with scholars of interdisciplinary research, and also with the Graduate School of Information Science, in order to further this goal.
Message from Foreign Student Xin DONG
From China, I grew up in Harbin and studied in Shanghai since high school. Before my current study I joined an academic exchange program called NUPACE, allowing me to spend one semester at Nagoya University. After experiencing the excellent research environment at Graduate School of Mathematics, I decided to do my PhD here under the G30 International Program.
My interest is on Several Complex Variable and Complex Geometry and I belong to an active group working in this area led by Prof. Ohsawa. I am now focusing on topics around the Bergman kernel, setting up appropriate research goals and trying to accomplish them. Much joy would arise after the achieving of new results, since it represents that the perspective on a certain mathematical objects has deepened. During the attendance of domestic and international conferences, I had the opportunity to meet many mathematicians full of original ideas who greatly inspired me. I am a TA for mathematics courses taught in English for international students. For teaching, here I also see professors explaining good mathematics to non-experts in simple words, so that more people can enjoy the beauty of mathematics and share the joy.
At the second year, I spent much time and efforts applying for a fellowship sponsored by JSPS which is competitive. Fortunately heading to the interview process, I still have no idea what to prepare before consulting Prof. Nayatani, who later arranged for me two mock interviews. And I clearly remembered one morning seven professors from the department showed up out of their busy schedules, evaluating my speech and offering valuable comments. Looking backward, I feel it not only a self-improvement but also a warm encouragement.
Life in Nagoya is comfortable. The University has various Japanese language classes, as well as various sports clubs, Aikido, Karate, etc. The science library has a large collection where you can read original Japanese references written by professors Kodaira, Oka, which is so cool. The city has a perfect size and the downtown is just ten minutes away by metro. Mountains are always available for hiking and people are kind-hearted. After Japan, I plan to go to America, but wherever I go the experience here has always been great.
17 Tuition and Other Information
Tuition and Other Fees (as of April, 2013)
Student Status Application（￥） Registration（￥） Tuition（￥） Degree-Seeking Student（undergraduate） 17,000 282,000 535,800 per year
Degree-Seeking Student（graduate） 30,000 282,000 535,800 per year
Research Student, Graduate School Research Student 9,800 84,600 29,700 per month
Special Audit Student, Graduate School Special Audit Student − − 14,800 per credit
Special Research Student − − 29,700 per month
Traning Course in Japanese 9,800 43,500 30,200 per month
Training Course in Japanese Lang．& Culture 9,800 84,600 29,700 per month
from HANDBOOK for International Students 2013.4-2015.3 Nagoya University
Fee Exemptions
Independently-financed degree-seeking students, who demonstrate excellent academic records and are in need of financial assistance, are eligible to be considered for exemptions from half or the entire tuition. However, as the possibility of obtaining an exemption is small, it is advisable to prepare to pay the necessary fees. The application process for fee exemptions takes place each semester. Applications for the spring semester are generally accepted from the end of February to March, and for the fall semester, from the end of August to the middle of September. Please pay close attention to these deadlines. Students should contact the office of their school for further information.
Scholarships For information on the scholarships provided by The Japan Student Service Organization (JASSO), please visit the website: http: //nupace.ecis.nagoya-u.ac.jp/en/life/jasso.html
There were, as of November 2012, 1,799 international students at Nagoya University, 76% of them are independently-financed. Financial support available to these students is outlined below. Information about scholarships is posted on the bulletin board of each school. Students are advised to check the boards daily.
Japanese Language Programs The Education Center for International Students, Nagoya University offers the following Japanese language courses. 1. University-Wide Japanese Language Programs (1) Standard Courses in Japanese/ Intensive Courses in Japanese (2) Online Japanese Courses (3) Kanji Course (4) Introductory Lectures in Japanese Studies (5) Business Japanese Course
2. Special Japanese Programs ECIS offers four types of Special Japanese Programs. Enrollment in these courses is limited. (1) Intensive Program in Elementary Japanese (2) Intensive Program in Advanced Japanese (3) Japanese Language Classes for International Undergraduate Students (4) Introductory Program for Korean Engineering Students
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Advising & Counseling Services (ACS) http://www.isa.provost.nagoya-u.ac.jp/en/
ECIS (ACS Office) is a university-wide office to assist international students with issues or problems they may have. We provide information and advice to international students about academic and personal matters, as well as cross-cultural adjustment and psychological issues. If you have any difficulties or concerns while you are in Japan, please feel free to contact us. We will keep our discussions confidential.
Office Hours and Staff (from Advising & Counseling Services, Nagoya University)
Advisor Ms. Kyoko TANAKA / International Student Advisor/ Director (Professor) Office Room742 West Wing, IB Building Office Hours Mon Tue Wed Thu Fri 10:00-12:00 O - O O - 13:00-16:00 O O O O -
Advisor Ms. Hitomi TAKAKI / International Student Advisor (Associate Professor) Office Room204 International Center (IEEC Building) Office Hours Mon Tue Wed Thu Fri 10:00-12:00 O - O O O 13:00-16:00 O - - O O
Advisor Ms. Makiko TADOKORO / International Student Counselor (Associate Professor) Office Room740 West Wing, IB Building Office Hours Mon Tue Wed Thu Fri 10:00-12:00 O O O O O 13:00-16:00 O O - O O
Advisor Ms. Naomi BANNO / International Student Counselor (Professor) Office Room738 West Wing, IB Building Office Hours Mon Tue Wed Thu Fri 10:00-12:00 O O O autumn only O 13:00-16:00 O O O autumn only O
ACS Office From Monday to Friday: 10:00-12:00, 13:00-16:00 TEL : 052-788-6117 E-mail : [email protected] Room739 West Wing, IB Building
After graduating from our school students pursue the following Undergraduate Master's Course Doctor's Course 2012 2013 2014 2012 2013 2014 2012 2013 2014 Private Company 8 16 18 20 24 27 1 1 1 Researcher/ Faculty ------4 7 5 Teacher 9 9 9 14 7 7 - - 2 Civil Servant 3 3 1 2 2 1 - - - Graduate School 22 26 23 15 11 7 - - - Research Student - - - - - 1 2 - 4 Others 3 1 6 8 5 7 2 1 1 45 55 57 59 49 50 9 9 13
19 International Activities
International Conferences of the Graduate School of Mathematics Conference on Resolution of Singularities and the McKay Correspondence 2012 The Nagoya International Mathematical Conference is a meeting held by the Graduate School of Mathematics of Nagoya University every year since 2001. The title of the 2012 meeting was "Conference on Resolution of Singularities and the McKay Correspondence." While there were two small meetings on the McKay correspondence held here before, this conference in 2012 was much larger, and there were a number of participants from different countries. The topics of the talks were related to several fields, such as algebraic geometry, ring theory, and representation theory. The participants enjoyed the fruitful talks and discussions as well as Japanese food and culture. Many of them were the JSPS researchers before, and they were also happy revisiting Japan.
The 13th International Conference, Graduate School of Mathematics, Nagoya University
PerspectivesPerspectives of Representation of Representation Theory of Algebras Theory (13th) of Algebras2013 During November 11-15, 2013,— celebrating our 13th annual Kunio International Yamagata’s Nagoya 65thMathematical birthday Conference — titled "Perspectives of representation theory of algebras" wasNovember held on the 11th–15th, occasion of 2013, the 65th Nagoya birthday University of Professor Kunio Yamagata. We invited 10 main speakers who are distinguished founders of this area, and 10 plenary speakers who are working on related areas such as cluster algebras, quantum groups, commutative algebras, algebraic geometry, and mathematical physics. There were also short presentations by young researchers. There were 88 conference participants from Germany, the United States, England, Poland, Norway, China, Korea, Belgium, and UAE, and, this time, many young researchers including graduate students participated, too. At the conference, representation theories such as quivers, Frobenius algebras, cluster algebras, derived categories, Cohen-Macaulay modules, and weighted projective lines were the central themes. Starting with the lecture by Professor I. Reiten entitled, "Lattice structure of torsion classes" and ending with Professor C. M. Ringel's lecture "The root posets", a lively discussion drew in broad participation and debate among the many in attendance.
Past Conferences Summer School on Cluster Algebras in Spectral Analysis in Geometry and Number 2014（14th） 2007（7th） Mathematical Physics TheoryNovember 14th, 2013 at Sakata–Hirata Hall, Nagoya University Perspectives of Representation Theory of 2013（13th） 2006（6th） Representation Theory of Algebraic Groups Algebras Conference on Resolution of Singularities and the Geometric Quantization and Related Complex 2012（12th） 2005（5th） McKay Correspondence Geometry 2011（11th） Topology and Analysis of Foliation 2004（4th） Complex Geometry and String Theory
Representation Theory of Algebraic Groups and Numbers, Symmetry and the Concept of Space 2010（10th） 2003（3rd） Quantum Groups'10 -COE Opening Conference- 2009（9th） Harmonic Analysis and Partial Differential Equations 2002（2nd） Discrete Groups and Moduli
2008（8th） Combinatorics and Representation Theory 2001（1th） Automorphic Forms and p-Adic Groups
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The Global 30 Project - Bringing Nagoya University to the World In July 2009, the selection results of the 2009 Project for Establishing Core Universities for Internationalization (Global 30) were announced, with Nagoya University standing out as one of the Global 30 leaders. The objectives of Global 30 are to strengthen the international competitiveness of Japanese higher education and to offer an education with standards that appeal to foreign students while, through creating an environment where Japanese students work together with international students, fostering highly educated individuals who can be active internationally. The project comprehensively supports a plan to create universities that act as bases for internationalization by providing both the high level of education expected from universities and environments that make studying in Japan more accessible for overseas students. To lead Japan's universities toward internationalization, Nagoya University must transform itself into a "university of the world". This means building a new environment in which Japanese and international students work side by side. In this way, the high standards of undergraduate and graduate education Nagoya University has achieved will be more widely accessible to students from overseas, and the University will be able to educate individuals with the ability to interact on the world stage. Here are some of the strategic measures being taken to realize this goal. from http://www.nagoya-u.ac.jp/en/international/edu-act/g30/ Mathematics without Borders Mathematics has no borders. No matter what nationality they are, mathematicians around the world strive each day through their research to advance the development of mathematics. Among them, there are always researchers out there somewhere pursuing answers to the same problems. Therefore, it can be said that the exchange of information regarding research is extremely important. In order to exchange this up to date information our school works hard to promote and offer various conferences, intensive courses, seminars, and workshops. In this vein, we have established formal academic alliances with the Korean Institute for Advanced Study (KIAS), Paris 7 Denis Diderot University, etc. With them, we have conducted cooperative research workshops and the exchange of graduate students as research assistants. Exchange beyond Fields Mathematics has historically influenced other fields, and at the same time evolved itself, from the influence of other research fields.Nowadays, working towards a goal of broad global exchange is not enough.Conducting research with a vision beyond our own narrow fields is also required. Our department makes a unique effort to strive towards working with scholars of interdisciplinary research, and also with the Graduate School of Information Science, in order to further this goal.
Message from a Master Student Hei Ze I’m Hei Ze, a master student from China, this is not the first time I come to Japan, I have studied in Kumamoto University for one year as an exchange student, therefore when I come to Nagoya University, I’m not surprised by the convenience of the transportation, the cleanness of the campus, and the kindness of all the staffs and teachers in Nagoya University, however I’m still impressed by the great academic atmosphere here, such as the huge display board hanging on the wall of the corridor at the Mathematics Bldg. introducing the Riemann hypothesis and the history of group theory. I major in physics when undergraduate, so at the beginning of the first semester I really afraid that I will be failed in taking the specialized courses in mathematics, and soon I found I have worried too much, the courses are proceed step by step, so if you have attended all the courses, there will be no difficulty in getting the credits. In Nagoya University, there will be a seminar every week hold by the students whose research is same or similar, it’s a good opportunity for you to communicate with other students about what you have learned this week, and it will push you to learn because you have to make presentation at the seminar, and it needs careful preparation, I think this is a really efficient way of learning mathematics. At last I want to introduce my supervisor Prof. Kanno, he is a kindness teacher and a rigorous scholar. At the first time of the seminar, I haven’t prepared well for the presentation, I felt shameful and guilty, however finally I finished it under the rigorous and detailed guidance of Prof. Kanno, and I really appreciate the patience he showed to me at that time. Above all I think Nagoya University is a place full of humane care and academic atmosphere, and I really enjoy the life here.
21 Academic Cooperation Programs Our Graduate School has several academic exchange programs shared with worldwide institutions to promote and develop cooperation in the field of mathematical sciences through the following activities:
Exchange of faculty and students. Exchange of publications and other academic materials. Bilateral symposia and workshops. Meetings to improve mutual research and educational programs. Mutual student managed projects.
Here is the list of institutions in cooperation agreement as of May 2012: Department of Mathematics, Nanjing University, since 2012. Department of Mathematical Sciences, Seoul National University, since 2012. Faculty of Mathematics, Ruhr Universität Bochum, since 2011. Université Paris 7 - Denis Diderot, since 2004. The Korean InstituteSIGNING for CEREMONY Advanced Study (KIAS), since 2004. Memorandum of Understanding on Academic Cooperation Department of Mathematics, NANJING UNIVERSITY and Graduate School of Mathematics, NAGOYA UNIVERSITY
March 2, 2012, Graduate School of Mathematics, Nagoya University SIGNING CEREMONY FEBRUARY, 9, 2012, Department of Mathematical Sciences Memorandum of Understanding on Academic Cooperation Department of Mathematical Sciences, SEOUL NATIONAL UNIVERSITY and Graduate School of Mathematics, NAGOYA UNIVERSITY
Mathematicians Shouldering Tradition Kosaku Yoshida, Nagoya U. (1942-53), Osaka U., Tokyo U. Masayoshi Nagata, Nagoya U. (1950-53), Kyoto U. He created the theory of operator semigroups. His celebrated He did famous work on the theory of commutative rings and textbook "Functional Analysis" is read all over the world. the foundation of algebraic geometry.
Tadashi Nakayama, Nagoya U. (1942-64), Osaka U. Tomio Kubota, Nagoya U. (1952-93), graduate of Nagoya U. He is one of the members at the foundation of our department. He created the theory of p-adic zeta-functions with Leopoldt. He is famous for his studies on the modular representation theory of symmetric groups and noncommutative rings. Masaki Kashiwara, Nagoya U. (1974-77), Kyoto U. He did decisive work on the theory of D-modules and its Kiyoshi Ito, Nagoya U. (1942-52), Kyoto U. application to representation theory. He is famous for his formula on stochastic differential equations, which is applied to mathematical finance. He Kazuhiko Aomoto, Nagoya U. (1978-2001). received the first Gauss Prize in 2006. He created the theory of multi-variable hypergeometric functions, independently of Gelfand. Masatake Kuranishi, Nagoya U. (1949-63), Columbia U., graduate of Nagoya U. Shigefumi Mori, Nagoya U. (1980-90), Kyoto U. He did decisive work on the deformation theory of complex He completed the classification theory of three-dimensional structures. algebraic varieties. He received the Fields Medal in 1990.
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International Lounge
The “International Lounge” is now open. This is a room specially arranged to activate international exchanges and partnership in various occasions. For example, we have been holding activities for international students that provide opportunities to socialize with fellow students. We also organize events where participants are encouraged to present their views in languages other than their native language. We are committed to continue offering various activities that foster chances to talk to new people, promote deeper understanding of Japanese culture, and allow students to experience different cultures. Through these events, we hope to help the members of our community to appreciate each other’s languages, cultures, and values, and to respect each other’s viewpoints.
23 Support for Education and Research
Staff from across many sections and areas are involved in the life and operation of the School of Science and Department of Mathematics. The sections introduced here are an important part of our support structures.
Science Library A fully developed library is a quintessential element in providing a quality mathematics education, and thus our Science Library has served us well as the “face” of our department. The library houses over 100,000 volumes related to mathematical science and more than 1,600 periodicals, 90% of which are published overseas. One of our highlights is the Hilbert Collection, with copies of nearly 10,000 academic papers that the greatest mathematician, David Hilbert (1862-1943), owned. It has become a valuable resource for research. Books of reference, including textbooks, are found in the student reference section in order to promote easy access for students. Online search catalogs are fully equiped for easy access to books and electronic journals, and librarians offer support to users seeking further information.
Computers and Networks Electronic journals and e-mail are some of the modern indispensable tools for computer networking for researchers in mathematical science. Computer laboratories are located in the Graduate School of Mathematics Building (2 rooms) and in Science Building A (1 room). All PCs are connected to the intra-campus network (NICE), which offers reliable high-speed access to the Internet. This computer network environment corresponds to the needs of both graduate students and faculty for exchanging scholastic information. Our department is committed to enhancing our information technology environment as a research tool, not only as a scaffold of numerical analysis and information science, but also for theoretical development by installing various mathematical software programs.
Office of Academic Affairs The Office of Academic Affairs was established in 2003 in order to provide specific services needed by students and faculty. In 2008, it was reorganized to deal with all educational affairs. For students and faculty, the office processes research grants (Grants-in-Aid for Scientific Research) and student aid to attend workshops, and manages study rooms and locker keys. To assist department activities, the office edits mathematical journals, publishes information in the form of brochures, updates web sites, prepares to hold international conferences, such as Nagoya International Conference, and hosts foreign visitors. The office aims at creating better academic surroundings with prompt service responding to department needs, with a friendly atmosphere as their motto.
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Nagoya Mathematical Journal Known as a comprehensive academic journal for mathematics, Nagoya Mathematical Journal (NMJ) has long been highly evaluated internationally since its first edition published by our department in June of 1950. All back numbers are available as electronic archives, and can be accessed through a database called Project Euclid by the library of Cornell University. While reviewing many creative mathematical papers submitted to the journal from around the world, editing committees make a substantial effort to maintain its scholastic quality. We firmly believe that the academic value of NMJ depends on the advanced level of mathematics with which our department deals. We are proud of NMJ as proof of the depth of our history and the excellence shown by mathematicians in Nagoya. http://projecteuclid.org/Dienst/Ul/1.0/ Journal?authority=euclid.nmj
Administration Office The Administration Office of our department supports faculty and students by maintaining campus facilities, purchasing office supplies, and arranging research and business trips. The office, for example, takes care of air-conditioning for computer laboratories and classrooms. Its constant effort provides faculty and students with a comfortable environment for research and study and the smooth arrangement of facility use and meetings. Accordingly, the office plays an important role for both faculty and students, helping them to focus on their business within a comfortable campus, doing its best to offer speedy and accurate service.
25 NAGOYA UNIVERSITY
Graduate School of Mathematics Department of Mathematics, School of Science NAGOYA UNIVERSITY
Chikusa-ku, Nagoya 464-8602 JAPAN TEL +81 (052) 789-2833 FAX +81 (052) 789-5397 http://www.math.nagoya-u.ac.jp/en/index.html